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Finding the Third Proportional to 36,968,022 and 82,436,202

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Solution

The third proportional to 36,968,022 and 82,436,202 is: 183,827,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968,022 : 82,436,202 = 82,436,202 : x
  2. Step 2: Convert to fraction form
    36,968,022/82,436,202 = 82,436,202/x
  3. Step 3: Cross multiply
    36,968,022x = 82,436,202 × 82,436,202
  4. Step 4: Simplify right side
    36,968,022x = 6,795,727,400,184,804
  5. Step 5: Solve for x
    x = 6,795,727,400,184,804/36,968,022
  6. Step 6: Final answer
    x = 183,827,184.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.